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Finding the Third Proportional to 41,792 and 61,087

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Solution

The third proportional to 41,792 and 61,087 is: 89,290.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,792 : 61,087 = 61,087 : x
  2. Step 2: Convert to fraction form
    41,792/61,087 = 61,087/x
  3. Step 3: Cross multiply
    41,792x = 61,087 × 61,087
  4. Step 4: Simplify right side
    41,792x = 3,731,621,569
  5. Step 5: Solve for x
    x = 3,731,621,569/41,792
  6. Step 6: Final answer
    x = 89,290.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.